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Finding the Fourth Proportional to 288,049.35, 431,296.43 and 288,049.35

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Solution

The fourth proportional to 288,049.35, 431,296.43 and 288,049.35 is: 431,296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,049.35 : 431,296.43 = 288,049.35 : x
  2. Step 2: Convert to fraction form
    288,049.35/431,296.43 = 288,049.35/x
  3. Step 3: Cross multiply
    288,049.35x = 431,296.43 × 288,049.35
  4. Step 4: Simplify right side
    288,049.35x = 124,234,654,878.57
  5. Step 5: Solve for x
    x = 124,234,654,878.57/288,049.35
  6. Step 6: Final answer
    x = 431,296.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.